Absence of asymptotic-time symmetry breaking in zero-bias spin-boson model with partial relaxation |
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Authors: | V ?ápek |
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Institution: | (1) Faculty of Mathematics and Physics, Institute of Physics of Charles University, Ke Karlovu. 5, 121 16 Prague 2, Czechoslovakia |
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Abstract: | The symmetric spin-boson model without external field is treated for any type of coupling to the boson bath and any initial bath density matrix. With initially fully aligned spin (z (0)= =1), the proof is given that a partial relaxation (z (+) t1<) implies that there is no asymptotic-time (up-and-down) symmetry breaking (i.e. that z (+)=0). For the problem of a particle (interacting with free bosons) in a symmetric double well without spatial symmetry breaking before the infinite time limit, this means that att + the particle distribution becomes symmetric (irrespective of the full initial asymmetry) unless the particle fully remains (att + ) in Ihe starting well. |
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